Pusz-Woronowicz's functional calculus revisited

This note is a complement to Pusz–Woronowicz’s works on functional calculus for two positive forms from the viewpoint of operator theory. Based on an elementary, self-contained and purely Hilbert space operator explanation of their functional calculus, we show that any operator connection type opera...

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Bibliographic Details
Main Authors: Hatano Kanae
Ueda Yoshimichi
Format: Article
Published: 2021
Series:Acta scientiarum mathematicarum 87 No. 3-4
Kulcsszavak:Analízis - matematikai, Kalkulus
Subjects:
doi:10.14232/actasm-021-263-6

Online Access:http://acta.bibl.u-szeged.hu/75851
Description
Summary:This note is a complement to Pusz–Woronowicz’s works on functional calculus for two positive forms from the viewpoint of operator theory. Based on an elementary, self-contained and purely Hilbert space operator explanation of their functional calculus, we show that any operator connection type operations (including any operator perspectives) are captured by their functional calculus.
Physical Description:485-503
ISSN:2064-8316